Free Printable H Geo Sem 2 Final Review

1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

3.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

4.

What is the coordinates of the center and the radius of the circle with equation: (x - 1)² + (y - 2)² = 9 ?

a)

Center (-1,-2) Radius = 3 units

b)

Center (1,2) Radius = 3 units

c)

Center (-1,-2) Radius = 9 units

d)

Center (1,2) Radius = 9 units

5.

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

a)

41.7 ft

b)

36.6 ft

c)

34.6 ft

d)

38.8 ft

6.

What is the relationship between Angles B and D in the figure?

a)

$\angle B=\frac{1}{2}\angle D$

b)

$\angle B=\angle D$

c)

$\angle B+\angle D=180\degree$

d)

$\angle B+\angle D=90\degree$

7.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

8.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

9.

Find the length of KP

a)

16

b)

15

c)

13

d)

12

10.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

11.

A circle has a center of (1, -5) and passes through the point (-7, -13). What is the equation of this circle?

a)

(x + 1)²+ (y - 5)²= 128

b)

(x - 1)²+ (y + 5)²= 11.31

c)

(x - 1)²+ (y + 5)²= 128

d)

(x + 1)²+ (y + 5)²= 11.31

12.

Find the value of x.

a)

26

b)

24

c)

30

d)

20

13.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

14.

Find the area of a circle with a sector area of 25.7 in. and an arc measure of 190 degrees.

a)

13.6 square inches

b)

2661.5 square inches

c)

48.7 square inches

d)

10.9 squares inches

15.

What is the degree of an angle with a radian measure of $\frac{7}{4}\pi$

a)

$310\degree$

b)

$320\degree$

c)

$315\degree$

d)

$330\degree$

16.

Convert the degree measures to radians. 295°

a)

5π/3

b)

61π/36

c)

59π/36

d)

29π/18

17.

Calculate the volume of the given image.

a)

648

b)

810

c)

1620

d)

867

18.

Find the volume of the given sphere.

a)

1,4679.8 cubic km

b)

995.6 cubic km

c)

1,000.9 cubic km

d)

1,150.3 cubic km

19.

Find the volume of the figure.

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

20.

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

21.

I have this fish tank with a volume of $2080in^3$ . I need to know the depth of the tank to see if it fits on my shelf. Formula for this rectangular prism is $V=Bh$

(a)

22.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

23.

What percent of the total population surveyed were electrical engineers and like math?

a)

33.9%

b)

48.6%

c)

16.5%

d)

21.7%

24.

What percentage of the total population surveyed were chemical engineers or like science?

a)

34.7%

b)

53.2%

c)

66.3%

d)

17.6%

25.

What is the probability that math is their favorite subject given they were mechanical engineers?

a)

1.91

b)

52%

c)

17%

d)

35%

26.

A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?

a)

3360

b)

560

c)

4080

d)

680

27.

Find the number of possibilities for ranking the top 5 runners when a group of 15 people race.

a)

1.3 x 10¹²

b)

120

c)

3003

d)

360,360

28.

Nevi wants to create a workout playlist with 10 songs on her music app. She has 40 songs to choose from, including 15 songs by Beyoncé. Her app does not allow repeat songs in the same playlist. What is the probability that none of the 10 songs in the playlist is by Beyoncé?

a)

0.094

b)

0.017

c)

0.0043

d)

0.0039

29.

A local smoothie bar called Blendz offers 18 different fruit flavors for smoothies. Jada likes all but 4 of the flavors. A standard smoothie at Blendz comes in two sizes, regular or large, and includes one fruit flavor and one of 10 add-ins. How many different smoothies could Jada order using only flavors she likes?

a)

240

b)

280

c)

140

d)

180

30.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

31.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

32.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

33.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

34.

Find the scale factor

a)

2/5

b)

5/2

c)

1/4

d)

4

35.

Find the value of x.

a)

2

b)

3

c)

6

d)

$\sqrt{2}$

36.

Find the value of x.

a)

12

b)

48

c)

$12\sqrt{3}$

d)

$24\sqrt{3}$

37.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

38.

A pilot looks down and sees the runway at an angle of depression of 10°. If the horizontal distance between the plane and the runway is 8000 feet, what is the height of the plane?

a)

1410.6

b)

1389.2

c)

5671.3

d)

7878.5

39.

a)

$81\degree$

b)

$93\degree$

c)

$82\degree$

d)

$79\degree$

40.

Find the length of side BC.

a)

32.96

b)

27.77

c)

33.42

d)

7.77

41.

Find the area of the triangle

a)

72.3cm²

b)

84.4cm²

c)

77.9cm²

d)

78cm²

42.

What solid is formed when the triangle is rotated around the y-axis?

a)

cone

b)

cylinder

c)

pyramid

d)

prism

43.

Find the value of the variable. Round your answer to nearest tenth.

a)

150

b)

12.2

c)

50

d)

7.1

44.

Given that V = 1385.44. Find the missing dimension.

a)

197.86

b)

28.27

c)

18

d)

9

45.

$x^2+10x+y^2+8y=59$ For the given equation, complete the square to determine the center and radius of the circle.

a)

center: (5,4), radius = 10

b)

center: (5, 4), radius = 100

c)

center: (-5, -4), radius = 100

d)

center: (-5, -4), radius = 10

46.

Complete the square to determine the equation of the circle in standard form:

x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

47.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

48.

Find the measure of arc QR

a)

48°

b)

50°

c)

80°

d)

100°

49.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the measure of minor arc AB to the nearest degree.

a)

60

b)

45

c)

63

d)

81

50.

A snow cone cup is shaped like an inverted cone and holds 120 cubic centimeters of flavored ice. The height of the cup is 10 cm. What is the diameter of the opening of the cup?

a)

5.4 cm

b)

6.8 cm

c)

7.8 cm

d)

8.7 cm

H Geo Sem 2 Final Review

Total questions: 50

Worksheet time: 4hrs 34mins

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